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Finding the Fourth Proportional to 240.90, 361.35 and 78.57

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Solution

The fourth proportional to 240.90, 361.35 and 78.57 is: 117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.90 : 361.35 = 78.57 : x
  2. Step 2: Convert to fraction form
    240.90/361.35 = 78.57/x
  3. Step 3: Cross multiply
    240.90x = 361.35 × 78.57
  4. Step 4: Simplify right side
    240.90x = 28,391.27
  5. Step 5: Solve for x
    x = 28,391.27/240.90
  6. Step 6: Final answer
    x = 117.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.